Finding the Fourth Proportional to 3,796.64, 5,237.13 and 2,377.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.64 : 5,237.13 = 2,377.82 : x
2. Step 2: Convert to fraction form
   3,796.64/5,237.13 = 2,377.82/x
3. Step 3: Cross multiply
   3,796.64x = 5,237.13 × 2,377.82
4. Step 4: Simplify right side
   3,796.64x = 12,452,926.27
5. Step 5: Solve for x
   x = 12,452,926.27/3,796.64
6. Step 6: Final answer
   x = 3,279.99